Simplify (x-6)(x+6)

$(x - 6) (x + 6)$

Step 1

Expand $(x - 6) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$x (x + 6) - 6 (x + 6)$

Apply the distributive property.

$x \cdot x + x \cdot 6 - 6 (x + 6)$

Apply the distributive property.

$x \cdot x + x \cdot 6 - 6 x - 6 \cdot 6$

Step 2

Simplify terms.

Combine the opposite terms in $x \cdot x + x \cdot 6 - 6 x - 6 \cdot 6$ .

Reorder the factors in the terms $x \cdot 6$ and $- 6 x$ .

$x \cdot x + 6 x - 6 x - 6 \cdot 6$

Subtract $6 x$ from $6 x$ .

$x \cdot x + 0 - 6 \cdot 6$

Add $x \cdot x$ and $0$ .

$x \cdot x - 6 \cdot 6$

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} - 6 \cdot 6$

Multiply $- 6$ by $6$ .

$x^{2} - 36$